3700881735840 has 768 divisors, whose sum is σ = 13463885836800. Its totient is φ = 948913864704.

The previous prime is 3700881735797. The next prime is 3700881735869. The reversal of 3700881735840 is 485371880073.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2991819702 + ... + 2991820938.

It is an arithmetic number, because the mean of its divisors is an integer number (17531101350).

Almost surely, 2^{3700881735840} is an apocalyptic number.

3700881735840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3700881735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731942918400).

3700881735840 is an abundant number, since it is smaller than the sum of its proper divisors (9763004100960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3700881735840 is a wasteful number, since it uses less digits than its factorization.

3700881735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 3700881735840 in words is "three trillion, seven hundred billion, eight hundred eighty-one million, seven hundred thirty-five thousand, eight hundred forty".